20700777875760 has 960 divisors, whose sum is σ = 78618968064000. Its totient is φ = 5044461649920.

The previous prime is 20700777875717. The next prime is 20700777875807. The reversal of 20700777875760 is 6757877700702.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1347786961 + ... + 1347802319.

It is an arithmetic number, because the mean of its divisors is an integer number (81894758400).

Almost surely, 2^{20700777875760} is an apocalyptic number.

20700777875760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20700777875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309484032000).

20700777875760 is an abundant number, since it is smaller than the sum of its proper divisors (57918190188240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20700777875760 is a wasteful number, since it uses less digits than its factorization.

20700777875760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 56471520, while the sum is 63.

The spelling of 20700777875760 in words is "twenty trillion, seven hundred billion, seven hundred seventy-seven million, eight hundred seventy-five thousand, seven hundred sixty".